Ensuring the Reliability of Your Model Checker: Interval Iteration for Markov Decision Processes
Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
Authors
Colleges, School and Institutes
External organisations
- Technische Universität Dresden
Abstract
Probabilistic model checking provides formal guarantees on quantitative properties such as reliability, performance or risk, so the accuracy of the numerical results that it returns is critical. However, recent results have shown that implementations of value iteration, a widely used iterative numerical method for computing reachability probabilities, can return results that are incorrect by several orders of magnitude. To remedy this, interval iteration, which instead converges simultaneously from both above and below, has been proposed. In this paper, we present interval iteration techniques for computing expected accumulated weights (or costs), a considerably broader class of properties. This relies on an efficient, mainly graph-based method to determine lower and upper bounds for extremal expected accumulated weights. To offset the additional effort of dual convergence, we also propose topological interval iteration, which increases efficiency using a model decomposition into strongly connected components. Finally, we present a detailed experimental evaluation, which highlights inaccuracies in standard benchmarks, rather than just artificial examples, and illustrates the feasibility of our techniques.
Details
Original language | English |
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Title of host publication | Computer Aided Verification |
Subtitle of host publication | 29th International Conference, CAV 2017, Heidelberg, Germany, July 22-28, Proceedings |
Editors | Rupak Majumdar, Viktor Kunčak |
Publication status | Published - Jul 2017 |
Event | Computer Aided Verification, 29th International Conference - Heidelberg, Germany Duration: 22 Jul 2017 → 28 Jul 2017 |
Publication series
Name | Lecture Notes in Computer Science |
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Publisher | Springer |
ISSN (Print) | 0302-9743 |
ISSN (Electronic) | 1611-3349 |
Conference
Conference | Computer Aided Verification, 29th International Conference |
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Abbreviated title | CAV 2017 |
Country | Germany |
City | Heidelberg |
Period | 22/07/17 → 28/07/17 |